Q. If a metal has a work function of 2 eV, what is the minimum wavelength of light required to cause the photoelectric effect?
A.620 nm
B.310 nm
C.1240 nm
D.500 nm
Solution
Using the equation λ = hc/E, where E = 2 eV = 2 * 1.6 x 10^-19 J, we find the minimum wavelength λ = (6.63 x 10^-34 J·s * 3 x 10^8 m/s) / (2 * 1.6 x 10^-19 J) = 310 nm.
Q. If a metal has a work function of 2 eV, what is the threshold wavelength for the photoelectric effect?
A.620 nm
B.400 nm
C.500 nm
D.300 nm
Solution
The threshold wavelength can be calculated using the equation λ = hc/W. Substituting h = 4.14 x 10^-15 eV·s, c = 3 x 10^8 m/s, and W = 2 eV gives λ = 620 nm.
Q. If a metal has a work function of 4 eV, what is the minimum wavelength of light required to cause the photoelectric effect?
A.310 nm
B.620 nm
C.1240 nm
D.2480 nm
Solution
The minimum wavelength can be calculated using the equation λ = hc/W. Substituting h = 4.14 x 10^-15 eV·s, c = 3 x 10^8 m/s, and W = 4 eV gives λ = 310 nm.
Q. If the frequency of incident light is doubled, what happens to the kinetic energy of the emitted electrons?
A.It remains the same
B.It doubles
C.It quadruples
D.It decreases
Solution
The kinetic energy of the emitted electrons is given by KE = hf - φ. If the frequency is doubled, the kinetic energy increases as it is directly proportional to frequency.
Q. If the intensity of light is doubled while keeping the frequency constant, what happens to the number of emitted electrons in the photoelectric effect?
A.It doubles
B.It remains the same
C.It is halved
D.It becomes zero
Solution
Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.
Q. If the intensity of light is doubled while keeping the frequency constant, what happens to the number of emitted electrons?
A.It doubles
B.It remains the same
C.It is halved
D.It becomes zero
Solution
Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.
Q. If the work function of a metal is 4.5 eV, what is the threshold wavelength for the photoelectric effect?
A.400 nm
B.500 nm
C.600 nm
D.700 nm
Solution
The threshold wavelength can be calculated using the equation λ = hc/φ. Substituting h = 4.14 x 10^-15 eV·s, c = 3 x 10^8 m/s, and φ = 4.5 eV gives λ ≈ 400 nm.
Q. In a photoelectric experiment, if the frequency of light is just above the threshold frequency, what can be said about the emitted electrons?
A.They have maximum kinetic energy
B.They are emitted with zero kinetic energy
C.They are emitted with high kinetic energy
D.No electrons are emitted
Solution
If the frequency of light is just above the threshold frequency, the emitted electrons will have zero kinetic energy, as all the energy is used to overcome the work function.
Correct Answer: B — They are emitted with zero kinetic energy
Q. In a photoelectric experiment, if the stopping potential is increased, what happens to the maximum kinetic energy of the emitted electrons?
A.It increases
B.It decreases
C.It remains the same
D.It becomes zero
Solution
Increasing the stopping potential increases the maximum kinetic energy of the emitted electrons, as the stopping potential is directly related to the kinetic energy of the electrons.
Q. In the photoelectric effect, what happens to the emitted electrons if the frequency of the incident light is just at the threshold frequency?
A.They are emitted with maximum kinetic energy
B.They are emitted with zero kinetic energy
C.They are not emitted
D.They are emitted with negative kinetic energy
Solution
At the threshold frequency, the energy of the incident photons is equal to the work function, resulting in emitted electrons having zero kinetic energy.
Correct Answer: B — They are emitted with zero kinetic energy
Q. In the photoelectric effect, what happens to the kinetic energy of emitted electrons if the intensity of light is increased while keeping frequency constant?
A.Increases
B.Decreases
C.Remains the same
D.Becomes zero
Solution
The kinetic energy of emitted electrons remains the same as it depends on the frequency, not intensity.
Q. In the photoelectric effect, what happens to the kinetic energy of the emitted electrons if the frequency of the incident light is increased?
A.It decreases
B.It remains constant
C.It increases
D.It becomes negative
Solution
The kinetic energy of the emitted electrons increases with the frequency of the incident light, as given by the equation KE = hf - φ, where φ is the work function.
Q. In the photoelectric effect, what is the effect of increasing the wavelength of incident light?
A.Increases the kinetic energy of emitted electrons
B.Decreases the kinetic energy of emitted electrons
C.Has no effect on the photoelectric effect
D.Increases the number of emitted electrons
Solution
Increasing the wavelength decreases the frequency of the light, which reduces the energy of the incident photons, thus decreasing the kinetic energy of emitted electrons.
Correct Answer: B — Decreases the kinetic energy of emitted electrons